Molar conductivity of a weak acid HQ of concentration 0.18 M was found to be 1 / 30 of the molar conductivity of another weak acid HZ with…

Molar conductivity of a weak acid HQ of concentration $\displaystyle 0.18$ M was found to be $\displaystyle 1 / 30$ of the molar conductivity of another weak acid HZ with concentration of $\displaystyle 0.02$ M . If $\displaystyle \lambda^{\circ}{ }_{\mathrm{Q}^{-}}$ happened to be equal with $\displaystyle \lambda^{\circ}{ }_{\mathrm{Z}^{-}}$, then the difference of the $\displaystyle \mathrm{pK}_{\mathrm{a}}$ values of the two weak acids $\displaystyle \left(\mathrm{pK}_{\mathrm{a}}(\mathrm{HQ})-\mathrm{pK}_{\mathrm{a}}(\mathrm{HZ})\right)$ is $\displaystyle \_\_\_\_$ (Nearest integer). [Given: degree of dissociation $\displaystyle (\alpha) \ll 1$ for both weak acids, $\displaystyle \lambda^{\circ}$ : limiting molar conductivity of ions]